Theorems · Theorem · commutative algebra
UniqueFactorizationMonoid.factors_zero
∀ {α : Type u_1} [inst : CommMonoidWithZero α] [inst_1 : UniqueFactorizationMonoid α],
UniqueFactorizationMonoid.factors 0 = 0- Cited by
- 4 results in Mathlib
- Foundations
- Depth 20 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Multisetstatement · cited by 2,627
- CommMonoidWithZerostatement and proof · cited by 913
- UniqueFactorizationMonoidstatement and proof · cited by 279
- UniqueFactorizationMonoid.factorsstatement · cited by 55
Cited by4
Results whose statement or proof uses this declaration.
- UniqueFactorizationMonoid.ne_zero_of_mem_factorsproof · cited by 3
- UniqueFactorizationMonoid.factors_rel_of_associatedproof · cited by 2
- Associated.card_factors_eqproof · cited by 1
- Ideal.factors_span_eqproof · cited by 0